메뉴 건너뛰기




Volumn 1178, Issue , 1996, Pages 26-35

Incremental convex hull algorithms are not output sensitive

Author keywords

[No Author keywords available]

Indexed keywords

TOPOLOGY;

EID: 84990210448     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0009478     Document Type: Conference Paper
Times cited : (7)

References (26)
  • 2
    • 0040700233 scopus 로고
    • Quotient polytopes of cyclic polytopes. Part I: Structure and characterization
    • A. Altshuler and M. Perles. Quotient polytopes of cyclic polytopes. Part I: Structure and characterization. Israel J. Math., 36(2):97–125, 1980.
    • (1980) Israel J. Math , vol.36 , Issue.2 , pp. 97-125
    • Altshuler, A.1    Perles, M.2
  • 4
    • 34249842390 scopus 로고
    • A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
    • D. Avis and K. Fukuda. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra. Disc. Comput. Geom., 8:295–313, 1992.
    • (1992) Disc. Comput. Geom , vol.8 , pp. 295-313
    • Avis, D.1    Fukuda, K.2
  • 6
    • 0001876097 scopus 로고
    • Ground states of a ternary lattice model with nearest and next-nearest neighbor interactions
    • G. Ceder, G. Garbulsky, D. Avis, and K. Fukuda. Ground states of a ternary lattice model with nearest and next-nearest neighbor interactions. Physical Review B, 49:1–7, 1994.
    • (1994) Physical Review B , vol.49 , pp. 1-7
    • Ceder, G.1    Garbulsky, G.2    Avis, D.3    Fukuda, K.4
  • 7
    • 85012248128 scopus 로고
    • Output-sensitive results on convex hulls, extreme points, and related problems
    • T. M. Chan. Output-sensitive results on convex hulls, extreme points, and related problems. In Proc. 11th ACM Symp. Comp. Geom., pages 10–19, 1995.
    • (1995) Proc. 11Th ACM Symp. Comp. Geom , pp. 10-19
    • Chan, T.M.1
  • 8
    • 0038922544 scopus 로고
    • The simplex method: Optimal set and degeneracy
    • Wiley, New York
    • A. Charnes. The simplex method: optimal set and degeneracy. In An introduction to Linear Programming, Lecture VI, pages 62–70. Wiley, New York, 1953.
    • (1953) An Introduction to Linear Programming, Lecture , vol.6 , pp. 62-70
    • Charnes, A.1
  • 9
    • 51249162153 scopus 로고
    • An optimal convex hull algorithm in any fixed dimension
    • B. Chazelle. An optimal convex hull algorithm in any fixed dimension. Disc. Comput. Geom., 10:377–409, 1993.
    • (1993) Disc. Comput. Geom , vol.10 , pp. 377-409
    • Chazelle, B.1
  • 10
  • 11
    • 0039844980 scopus 로고    scopus 로고
    • Technical report, Laboratoire d’Informatique de l’Ecole Supérieure, January, To appear in Lecture Notes in Computer Science, Springer-Verlag
    • A. Deza, M. Deza, and K. Fukuda. On Skeletons, Diameters and Volumes of Metric Polyhedra. Technical report, Laboratoire d’Informatique de l’Ecole Supérieure, January 1996. To appear in Lecture Notes in Computer Science, Springer-Verlag.
    • (1996) On Skeletons, Diameters and Volumes of Metric Polyhedra
    • Deza, A.1    Deza, M.2    Fukuda, K.3
  • 12
    • 0020799155 scopus 로고
    • The complexity of vertex enumeration methods
    • M. Dyer. The complexity of vertex enumeration methods. Math. Oper. Res., 8(3):381–402, 1983.
    • (1983) Math. Oper. Res , vol.8 , Issue.3 , pp. 381-402
    • Dyer, M.1
  • 13
    • 0040700229 scopus 로고
    • Complete linear descriptions of small asymetric travelling salesman polytopes
    • R. Euler and H. Le Verge. Complete linear descriptions of small asymetric travelling salesman polytopes. Disc. App. Math., 62:193–208, 1995.
    • (1995) Disc. App. Math , vol.62 , pp. 193-208
    • Euler, R.1    Le Verge, H.2
  • 14
    • 84990191742 scopus 로고    scopus 로고
    • cdd+ Reference manual, version 0.73. ETHZ, Zurich, Switzerland
    • K. Fukuda. cdd+ Reference manual, version 0.73. ETHZ, Zurich, Switzerland.
    • Fukuda, K.1
  • 15
    • 84990240608 scopus 로고    scopus 로고
    • Analysis of backtrack algorithms for listing all vertices and all faces of a convex polyhedron
    • K. Fukuda, T. M. Liebling, and F. Margot. Analysis of backtrack algorithms for listing all vertices and all faces of a convex polyhedron. To appear in Comput. Geom.: Theory and Appl., 1996.
    • (1996) Comput. Geom.: Theory and Appl
    • Fukuda, K.1    Liebling, T.M.2    Margot, F.3
  • 16
    • 84947909628 scopus 로고    scopus 로고
    • The double description method revisited
    • Springer-Verlag, To appear
    • K. Fukuda and A. Prodon. The double description method revisited. In Lecture Notes in Computer Science, volume 1120. Springer-Verlag, 1996. To appear.
    • (1996) Lecture Notes in Computer Science , vol.1120
    • Fukuda, K.1    Prodon, A.2
  • 17
    • 0039514979 scopus 로고
    • Neighborly and cyclic polytopes
    • V. Klee, editor
    • D. Gale. Neighborly and cyclic polytopes. In V. Klee, editor, Proc. 7th Symp. Pure Math., 1961.
    • (1961) Proc. 7Th Symp. Pure Math
    • Gale, D.1
  • 19
    • 0001849163 scopus 로고
    • How good is the simplex method?
    • Academic Press
    • V. Klee and G. Minty. How good is the simplex method? In O. Shisha, editor, Inequalities-III, pages 159–175. Academic Press, 1972.
    • (1972) O. Shisha, Editor, Inequalities-Iii , pp. 159-175
    • Klee, V.1    Minty, G.2
  • 20
    • 84976163829 scopus 로고
    • The maximal number of faces of a convex polytope
    • P. McMullen. The maximal number of faces of a convex polytope. Mathematika, 17:179–184, 1970.
    • (1970) Mathematika , vol.17 , pp. 179-184
    • McMullen, P.1
  • 24
    • 0002448492 scopus 로고
    • Finding the convex hull facet by facet
    • G. Swart. Finding the convex hull facet by facet. J. Algorithms, pages 17–48, 1985.
    • (1985) J. Algorithms , pp. 17-48
    • Swart, G.1
  • 25
    • 84922476396 scopus 로고
    • Technical Report 785, IRISA, Campus Universitaire de Beaulieu-35042 Rennes CEDEX France
    • D. K. Wilde. A library for doing polyhederal applications. Technical Report 785, IRISA, Campus Universitaire de Beaulieu-35042 Rennes CEDEX France, 1993.
    • (1993) A Library for Doing Polyhederal Applications
    • Wilde, D.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.